期刊名称：International Journal of Advanced Statistics and Probability
电子版ISSN：2307-9045
出版年度：2015
卷号：3
期号：1
页码：1-7
DOI：10.14419/ijasp.v3i1.3684
出版社：Journal of Advanced Computer Science & Technology
摘要：This article introduces a two-parameter probability model which represents another generalization of the Inverse Exponential distribution by using the quadratic rank transmuted map. The proposed model is named Transmuted Inverse Exponential (TIE) distribution and its statistical properties are systematically studied. We provide explicit expressions for its moments, moment generating function, quantile function, reliability function and hazard function. We estimate the parameters of the TIE distribution using the method of maximum likelihood estimation (MLE). The hazard function of the model has an inverted bathtub shape and we propose the usefulness of the TIE distribution in modeling breast cancer and bladder cancer data sets.
